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Simplifying 3(x + -4) = 2(x + -1) + 33 Reorder the terms: 3(-4 + x) = 2(x + -1) + 33 (-4 * 3 + x * 3) = 2(x + -1) + 33 (-12 + 3x) = 2(x + -1) + 33 Reorder the terms: -12 + 3x = 2(-1 + x) + 33 -12 + 3x = (-1 * 2 + x * 2) + 33 -12 + 3x = (-2 + 2x) + 33 Reorder the terms: -12 + 3x = -2 + 33 + 2x Combine like terms: -2 + 33 = 31 -12 + 3x = 31 + 2x Solving -12 + 3x = 31 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 3x + -2x = 31 + 2x + -2x Combine like terms: 3x + -2x = 1x -12 + 1x = 31 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 1x = 31 + 0 -12 + 1x = 31 Add '12' to each side of the equation. -12 + 12 + 1x = 31 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 31 + 12 1x = 31 + 12 Combine like terms: 31 + 12 = 43 1x = 43 Divide each side by '1'. x = 43 Simplifying x = 43
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